四耦合非线性薛定谔方程的矢量孤子解及叠加解  

Vector Soliton and Superposition Solutions for the Four-Coupled Nonlinear Schr?dinger Equations

作　　者：胡雪原 郭睿 HU Xueyuan;GUO Rui(College of Mathematics,Taiyuan University of Technology,Jinzhong 030600,China)

机构地区：[1]太原理工大学数学学院,山西晋中030600

出　　处：《应用数学》2023年第3期756-765,共10页Mathematica Applicata

基　　金：国家自然科学基金青年基金(11905155);山西省自然科学基金青年基金(201801D221023)。

摘　　要：本文通过两种方法分别得到四耦合非线性薛定谔方程的矢量孤子解及一阶叠加解.第一种方法是利用发展的广田双线性方法,得到四耦合非线性薛定谔方程的单、双孤子解,以及一种具有呼吸行为的新解.第二种方法是利用一阶达布变换,得到一阶怪波解以及怪波与孤子、呼吸子相互作用的一阶叠加解.In this paper,we obtain the vector soliton solutions and the first-order superposition solutions for the four-coupled nonlinear Schr?dinger equations by two methods.The first method is to obtain the one-,two-soliton solutions and a novel solution with breathing behaviors by using the developed Hirota bilinear method for the four-coupled nonlinear Schr?dinger equations.The second method is to obtain the first-order rogue wave solutions and the first-order superposition solutions of the interactions between the rogue waves and the solitons,breathers by using the first-order Darboux transformation.

关 键 词：发展的广田双线性方法 达布变换方法 矢量孤子解 叠加解 

分 类 号：O175.29[理学—数学]